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120021210020 = 2256198378041
BaseRepresentation
bin110111111000111010…
…0100101001110100100
3102110210111002012011202
41233301310211032210
53431300412210040
6131045331022032
711446144311125
oct1576164451644
9373714065152
10120021210020
114699a931568
121b316a3a918
13b41970248a
145b480a804c
1531c6c95015
hex1bf1d253a4

120021210020 has 24 divisors (see below), whose sum is σ = 256176421368. Its totient is φ = 47221459200.

The previous prime is 120021210007. The next prime is 120021210061. The reversal of 120021210020 is 20012120021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7345518436 + 112675691584 = 85706^2 + 335672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120021209983 and 120021210010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49187801 + ... + 49190240.

It is an arithmetic number, because the mean of its divisors is an integer number (10674017557).

Almost surely, 2120021210020 is an apocalyptic number.

120021210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021210020 is an abundant number, since it is smaller than the sum of its proper divisors (136155211348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120021210020 is a wasteful number, since it uses less digits than its factorization.

120021210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98378111 (or 98378109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120021210020 its reverse (20012120021), we get a palindrome (140033330041).

The spelling of 120021210020 in words is "one hundred twenty billion, twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 98378041 196756082 393512164 491890205 983780410 1967560820 6001060501 12002121002 24004242004 30005302505 60010605010 120021210020